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Simplifying 3(n + 4) = -2(-6 + -6n) Reorder the terms: 3(4 + n) = -2(-6 + -6n) (4 * 3 + n * 3) = -2(-6 + -6n) (12 + 3n) = -2(-6 + -6n) 12 + 3n = (-6 * -2 + -6n * -2) 12 + 3n = (12 + 12n) Add '-12' to each side of the equation. 12 + -12 + 3n = 12 + -12 + 12n Combine like terms: 12 + -12 = 0 0 + 3n = 12 + -12 + 12n 3n = 12 + -12 + 12n Combine like terms: 12 + -12 = 0 3n = 0 + 12n 3n = 12n Solving 3n = 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. 3n + -12n = 12n + -12n Combine like terms: 3n + -12n = -9n -9n = 12n + -12n Combine like terms: 12n + -12n = 0 -9n = 0 Divide each side by '-9'. n = 0 Simplifying n = 0
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